SOS Specifications of Probabilistic Systems by Uniformly Continuous Operators

Authors Daniel Gebler, Simone Tini

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Daniel Gebler
Simone Tini

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Daniel Gebler and Simone Tini. SOS Specifications of Probabilistic Systems by Uniformly Continuous Operators. In 26th International Conference on Concurrency Theory (CONCUR 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 42, pp. 155-168, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


Compositional reasoning over probabilistic systems wrt. behavioral metric semantics requires the language operators to be uniformly continuous. We study which SOS specifications define uniformly continuous operators wrt. bisimulation metric semantics. We propose an expressive specification format that allows us to specify operators of any given modulus of continuity. Moreover, we provide a method that allows to derive from any given specification the modulus of continuity of its operators.
  • SOS
  • probabilistic process algebra
  • bisimulation metric semantics
  • compositional metric reasoning
  • uniform continuity


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